Strong-Interaction Matter under Extreme Conditions from Chiral Quark Models with Nonlocal Separable Interactions

We review the current status of the research on effective nonlocal NJL-like chiral quark models with separable interactions, focusing on the application of this approach to the description of the properties of hadronic and quark matter under extreme conditions. The analysis includes the predictions for various hadron properties in vacuum, as well as the study of the features of deconfinement and chiral restoration phase transitions for systems at finite temperature and/or density. We also address other related subjects, such as the study of phase transitions for imaginary chemical potentials, the possible existence of inhomogeneous phase regions, the presence of color superconductivity, the effects produced by strong external magnetic fields and the application to the description of compact stellar objects.

Automated summary

The review focuses on the current research status of effective nonlocal NJL-like chiral quark models with separable interactions, and their application to describing the properties of hadronic and quark matter under extreme conditions. It includes predictions for various hadron properties in vacuum, as well as the study of phase transitions for systems at finite temperature and/or density. Other related subjects addressed include phase transitions for imaginary chemical potentials, inhomogeneous phase regions, color superconductivity, effects of strong external magnetic fields, and application to compact stellar objects.